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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16, Problem 11PS

Textbook Problem

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Damped Motion In Exercises 11-14, consider a damped mass-spring system whose motion is described by the differential equation

The zeros of its characteristic equation are

and

For

Determine whether the differential equation represents an overdamped, critically damped, or underdamped system.

Find the particular solution that satisfies the initial conditions.

Use a graphing utility to graph the particular solution found in part (b). Explain how the graph illustrates the type of damping in the system.

**(a)**

To determine

Whether the differential equation

**Given information:** The zeros of the characteristic equation of the differential equation

For

**(b)**

To determine

The particular solution of the differential equation

**(c)**

To determine

**To graph:** The particular solution

Multivariable Calculus

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